Preheat the Oven & Prep: Preheat your oven to 400°F (200°C). Lightly grease a 9×13-inch baking dish.
Cook the Shrimp: Heat the butter and olive oil in a large skillet over medium heat. Add the minced garlic and sauté for about 1 minute, until fragrant. Add the shrimp to the skillet and cook for 2–3 minutes per side, until they are pink and opaque. Remove the shrimp from the skillet and set them aside.
Make the Sauce: In the same skillet, add the chicken broth, heavy cream, lemon juice, lemon zest, and white wine (if using). Stir to combine and simmer for 3–4 minutes, allowing the sauce to thicken slightly. Season with salt, pepper, and red pepper flakes (if desired).
Assemble the Bake: Return the cooked shrimp to the skillet and toss to coat them evenly in the sauce. Transfer the mixture to the prepared baking dish. In a small bowl, combine the mozzarella cheese, Parmesan cheese, and chopped fresh parsley. Sprinkle this mixture evenly over the top of the shrimp.
Bake: Bake for 10–12 minutes, or until the cheese is melted, bubbly, and lightly golden.
Garnish & Serve: Remove from the oven and sprinkle with extra chopped fresh parsley for garnish. Serve hot over pasta or rice, or with crusty bread on the side to soak up all the delicious sauce.

Enjoy this easy and elegant baked dish!